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Finding the Third Proportional to 303,537 and 445,464

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Solution

The third proportional to 303,537 and 445,464 is: 653,752.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,537 : 445,464 = 445,464 : x
  2. Step 2: Convert to fraction form
    303,537/445,464 = 445,464/x
  3. Step 3: Cross multiply
    303,537x = 445,464 × 445,464
  4. Step 4: Simplify right side
    303,537x = 198,438,175,296
  5. Step 5: Solve for x
    x = 198,438,175,296/303,537
  6. Step 6: Final answer
    x = 653,752.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.